385905 has 16 divisors (see below), whose sum is σ = 665280. Its totient is φ = 189888.

The previous prime is 385901. The next prime is 385907. The reversal of 385905 is 509583.

385905 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 385905 - 2² = 385901 is a prime.

385905 is strictly pandigital in base 7.

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (385901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795 + ... + 1184.

It is an arithmetic number, because the mean of its divisors is an integer number (41580).

2³⁸⁵⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

385905 is a deficient number, since it is larger than the sum of its proper divisors (279375).

385905 is a wasteful number, since it uses less digits than its factorization.

385905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 385905 is about 621.2125240206. The cubic root of 385905 is about 72.8048204553.

The spelling of 385905 in words is "three hundred eighty-five thousand, nine hundred five".